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 OJFD  Vol.6 No.2 , June 2016
Radiative Effect on Flow and Heat Transfer over a Vertically Oscillating Porous Flat Plate Embedded in Porous Medium with Oscillating Surface Temperature
Abstract: The effect of radiation on flow and heat transfer over a vertically oscillating porous flat plate embedded in porous medium with oscillating surface temperature is investigated. The analytic solutions of momentum and energy equations are obtained. The velocity and temperature profiles are computed. The frictional force at the plate due to viscosity of fluid is estimated in terms of non dimensional skin friction coefficient and heat convection at the plate is estimated in the form of Nusselt number. The effects of physical parameters Prandtl number Pr, Grashof number Gr, Suction parameter S and radiative parameter R on velocity and temperature profiles are analyzed through graphs. The effects of oscillation on the velocity and temperature profiles are shown through 3-D surface plot.
Cite this paper: Miglani, M. , Garg, N. and Kumar Sharma, M. (2016) Radiative Effect on Flow and Heat Transfer over a Vertically Oscillating Porous Flat Plate Embedded in Porous Medium with Oscillating Surface Temperature. Open Journal of Fluid Dynamics, 6, 119-129. doi: 10.4236/ojfd.2016.62010.
References

[1]   Soundalgekar, V.M. (1979) Free Convection Effects on the Flow Past an Infinite Vertical Oscillating Plate. Astrophysics and Space Science, 64, 165-171.
http://dx.doi.org/10.1007/BF00640038

[2]   Mansour, M.A. (1990) Radiation and Free Convection Effects on the Oscillatory Flow past a Vertical Plate. Astrophysics and Space Science, 166, 269-275.
http://dx.doi.org/10.1007/BF01094898

[3]   Soundalgekar, V.M. and Takhar, H.S. (1993) Radiation Effects on Free Convection Flow past a Semi-Infinite Vertical Plate. Modelling, Measurement and Control, B51, 31-40.

[4]   Helmy, K.A. (1998) MHD Unsteady Free Convective Flow Past a Vertical Porous Plate. Journal of Applied Mathematics and Mechanics, 78, 255-270.
http://dx.doi.org/10.1002/(SICI)1521-4001(199804)78:4<255::AID-ZAMM255>3.0.CO;2-V

[5]   Hossain, M.A., Das, S.K. and Pop, I. (1998) Heat Transfer Response of MHD Free Convective Flow along a Vertical Plate to Surface Temperature Oscillation. International Journal of Non-Linear Mechanics, 33, 541-553.
http://dx.doi.org/10.1016/S0020-7462(96)00151-5

[6]   Raptis, A. and Perdikis, C. (1999) Radiation and Free Convection Flow past a Moving Plate. International Journal of Mechanical Engineering, 4, 817-821.

[7]   Hossain, M.A., Alim, M.A. and Rees, D.A.S. (1999) The Effect of Radiation on Free Convection from a Porous Vertical Plate. International Journal of Heat and Mass Transfer, 42, 181-191.
http://dx.doi.org/10.1016/S0017-9310(98)00097-0

[8]   Kim,Y. J. (2000)Unsteady MHD Convective Heat Transfer Past a Semi-Infinite Vertical Porous Moving Plate with Variable Suction. International Journal of Engineering Science, 38, 833-845.
http://dx.doi.org/10.1016/S0020-7225(99)00063-4

[9]   Hossain, Md. Anwar and Pop, I. (2001) Radiation Effects on Free Convection over a Vertical Flat Plate Embedded in a Porous Medium with High Porosity. International Journal of Thermal Sciences, 40, 289-295.
http://dx.doi.org/10.1016/S1290-0729(00)01210-2

[10]   El-Arabawy, H.A.M. (2003) Effect of Suction/Injection on the Flow of a Micro Polar Fluid past a Continuously Moving Plate in the Presence of Radiation. International Journal of Heat and Mass Transfer, 46, 1471-1477.
http://dx.doi.org/10.1016/S0017-9310(02)00320-4

[11]   Pathak, G.C., Maheshwari, H. and Gupta, S.P. (2006) Effect of Radiation on Unsteady Free Convection Flow Bounded by an Oscillating Plate with Variable Wall Temperature. International Journal of Applied Mechanics and Engineering, 11, 371-382.

[12]   Chandrakala, P. and Antony, R.S. (2008) Radiation Effects on MHD Flow Past an Impulsively Started Vertical Plate with Uniform Heat Flux. Indian Journal of Mathematics, 50, 519-532.

[13]   Das, K. (2010) Exact Solution of MHD Free Convection Flow and Mass Transfer near a Moving Vertical Plate in Presence of Thermal Radiation. African Journal of Medical Physics, 8, 29-41.

[14]   Chandrakala, P. (2011) Radiation Effects on Flow past an Impulsively Started Vertical Oscillating Plate with Uniform Heat Flux. International Journal of Dynamics of Fluids, 7, 1-8.

[15]   Ibrahim, S.Y. and Makinde, O.D. (2011) Radiation Effect on Chemically Reacting MHD Boundary Layer Flow of Heat and Mass Transfer through a Porous Vertical Flat Plate. International Journal of Physical Sciences, 6, 1508-1516.

[16]   Das, S., Jana, M. and Jana, R.N. (2011) Radiation Effect on Natural Convection Near a Vertical Plate Embedded in Porous Medium with Ramped Wall Temperature. Open Journal of Fluid Dynamics, 1, 1-11.
http://dx.doi.org/10.4236/ojfd.2011.11001

[17]   Chandrakala, P. (2011) Radiation Effects on Flow Past an Impulsively Started Vertical Oscillating Plate with Uniform Heat Flux. International Journal of Dynamics of Fluids, 7, 1-7.

[18]   Manna, S.S., Das, S. and Jana, R.N. (2012) Effects of Radiation on Unsteady MHD Free Convective Flow Past an Oscillating Vertical Porous Plate Embedded in a Porous Medium with Oscillatory Heat Flux. Advance in Applied Science Research, 3, 3722-3736.

[19]   Vidyasagar, G. and Ramana, B. (2013) Radiation Effect on MHD Free Convection Flow of Kuvshinshiki Fluid with Mass Transfer Past a Vertical Porous Plate through Porous Medium. Asian Journal of Current Engineering and Mathematics, 2, 170-174.

[20]   Ibrahim, Md. S. (2013) Radiation Effects on Mass Transfer Flow through a Highly Porous Medium with Heat Generation and Chemical Reaction. Hindawi Publishing Corporation ISRN Computational Mathematics, 2013, Article ID: 765408.

 
 
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